Question

The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical family with college-age children.† At private colleges, the average annual cost is equal to about 60% of the typical family's income. The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars.

Private Colleges 52.8, 42.2, 44.0, 34.3, 44.0, 29.6, 46.8, 36.8, 51.5, 41.0

Public Colleges 20.3, 22.0, 28.2, 15.6, 24.1, 28.5, 22.8, 25.8, 18.5, 25.6, 14.4, 21.8

(a) Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges. (Round the standard deviation to two decimal places.)

sample mean $___ thousand

sample standard deviation $___ thousand

Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for public colleges. (Round the standard deviation to two decimal places.)

sample mean $___ thousand

sample standard deviation $___ thousand

(b) What is the point estimate (in thousand dollars) of the difference between the two population means? (Use Private − Public.)

$__ thousand

Interpret this value in terms of the annual cost (in dollars) of attending private and public colleges. We estimate that the mean annual cost to attend private colleges is $___ more than the mean annual cost to attend public college

Answer #1

The increasing annual cost (including tuition, room, board,
books, and fees) to attend college has been widely discussed
(Time.com). The following random samples show the annual
cost of attending private and public colleges. Data are in
thousands of dollars.
Private Colleges
52.8
43.2
46.0
34.3
43.0
29.6
45.8
36.8
51.5
43.0
Public Colleges
20.3
22.0
28.2
15.6
24.1
28.5
22.8
25.8
18.5
25.6
14.4
21.8
A. Compute the sample mean (in thousand dollars) and sample
standard deviation (in thousand dollars)...

The average tuition and room and board cost at a small private
liberal arts college is reported to be $20,000 per term. A study of
400 small liberal arts colleges find that the average cost per term
is $20,100. The population standard deviation is $1,500. What is
the 95 percent confidence limit for estimated population mean?

(13) The average tuition and room and board cost at a small
private liberal arts college is reported to be $20,000 per term. A
study of 400 small liberal arts colleges find that the average cost
per term is $20,100. The population standard deviation is $1,500.
If α = 0.05, what is your decision about the average cost?

(12) The average tuition and room and board cost at a small
private liberal arts college is reported to be $20,000 per term. A
study of 400 small liberal arts colleges find that the average cost
per term is $20,100. The population standard deviation is $1,500.
If α = 0.05, what is the p- value for the test: Ho: µ= 20,000?

The average cost of tuition and room and board at a small
private liberal arts college is reported to be $8,500 per term. A
financial administrator believes that the average cost is higher. A
study conducted using 350 small liberal arts colleges showed that
the average cost per term is $8,745. The population standard
deviation is $1,200. Let α = 0.05. What is the p-value for this
test?
A. 0.0000
B. 0.0124
C. 0.4938
D. 0.0500

The average cost of tuition plus room and board for a small
private liberal arts college is reported to be $8,500 per term, but
a financial administrator believes that the average cost is higher.
A study conducted using 350 small liberal arts colleges showed that
the average cost per term is $8,745. The population standard
deviation is $1,200. Let α = 0.01. What is the critical z-value for
this test?
Please show work

College tuition: The mean annual tuition and fees in the
2013-2014 academic year for a sample of 14 private colleges in
California was $33,500 with a standard deviation of $7350. A
dotplot shows that it is reasonable to assume that the population
is approximately normal. Can you conclude that the mean tuition and
fees for private institutions in California is less than $35,000?
Use the a=0.10 level of significance and the P-value method with
the TI-84 Plus calculator.
1) State...

A state executive claims that the average cost of tuition at
public colleges is $5700. A researcher wishes to test the claim
that this cost is greater than $5700. She selects a random sample
of 36 public colleges and finds the mean to be $5950.The population
standard deviation is $659. Is there enough evidence to support the
claim that the cost of tuition is greater than $5700 at α = 0.05
?

( please make answer clear and please answer quick)
College tuition: The mean annual tuition and
fees in the 2013 -2014 academic year for a sample of
14 private colleges in California was $33,500 with a
standard deviation of
$7350. A dotplot shows that it is reasonable to assume that the
population is approximately normal. Can you conclude that the mean
tuition and fees for private institutions in California is less
than $35,000? Use the =α0.10 level of significance and the...

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